We look at the division of 630181 by 51 
We want to divide 630181 by 51.

Step 1:
51 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 51

Advancing to step 2:
63 divided by 51 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 51 from 63, we get 12.
Bring next digit (0) of the dividend behind the 12 and repeat the process: 120 / 51

Step 3:
120 divided by 51 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 102 from 120 leaves us with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 51

Advancing to step 4:
51 can be fit into 181 3 times, resulting in a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 123.0
If we take 153 away from 181, we end up with 28.
Take the next digit (8) from the dividend and append it to 28, then repeat: 288 / 51

On to step 5:
288 divided by 51 is 5 with a remainder of 33.
The next digit of our result is 5. 
Result so far: 1235.0
If we subtract 255 from 288, we get 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 51

Advancing to step 6:
51 can be fit into 331 6 times, resulting in a remainder of 25.
Record the quotient 6 as the next digit in the result. 
Result so far: 12356.0
Deduct 306 from 331 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
When dividing 250 by 51, we get 4 with a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 12356.4
Subtract 204 from 250 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
If we divide 460 by 51, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 12356.49
The remainder is 1 after subtracting 459 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
When dividing 10 by 51, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 12356.49
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
When dividing 100 by 51, we get 1 with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 12356.4901
If we subtract 51 from 100, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 11:
490 divided by 51 is 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 12356.49019
Subtracting 459 from 490 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 12:
310 divided by 51 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 12356.490196
If we take 306 away from 310, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
If we divide 40 by 51, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 12356.490196
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 14:
400 divided by 51 is 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 12356.49019607
Subtract 357 from 400 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Our division results in 12356.49019607 with a remaining 4.3e-08.